Singular shocks: retrospective and prospective

Lee Keyfitz, Barbara

Confluentes Mathematici, Tome 3 (2011) no. 3, pp. 445-470.

Singular shocks were first devised over 20 years ago as a tool to resolve some otherwise intractable Riemann problems for hyperbolic conservation laws. Although they appeared at first to be merely a mathematical curiosity, new applications suggest that they may have some greater significance. In this paper, I recount the story of their discovery, which owes much to Michelle Schatzmann, describe some of their old and new appearances, and suggest intriguing possible connections with change of type in conservation law systems.

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